Self-force corrections to the periapsis advance around a spinning black hole

Abstract

The linear in mass ratio correction to the periapsis advance of equatorial orbits around a spinning black hole is calculated for the first time and to very high precision, providing a key benchmark for different approaches modelling spinning binaries. The high precision of the calculation is leveraged to discriminate between two recent incompatible derivations of the 4PN equations of motion. Finally, the limit of the periapsis advance near the innermost stable orbit (ISCO) allows determination of the ISCO shift, validating previous calculations using the first law of binary mechanics. Calculation of the ISCO shift is further extended into the near extremal regime (with spins up to $1-a=10^{-20}$), revealing new unexpected phenomenology. In particular, we find that the shift of the ISCO does not have a well defined extremal limit, but instead continues to oscillate.

arXiv comment6 pages, 3 figures, Updated to match PRL accepted version

References in corpus (29)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Effective one-body approach to general relativistic two-body dynamics
• The Kerr/CFT Correspondence
• The motion of point particles in curved spacetime
• Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems
• Analytic Solutions of the Teukolsky Equation and their Low Frequency Expansions
• Black-hole binaries, gravitational waves, and numerical relativity
• Gravitational Self Force in a Schwarzschild Background and the Effective One Body Formalism
• Gravitational self-force correction to the innermost stable circular orbit of a Schwarzschild black hole
• Periastron Advance in Black-Hole Binaries
• The First Law of Binary Black Hole Mechanics in General Relativity and Post-Newtonian Theory
• Fokker action of non-spinning compact binaries at the fourth post-Newtonian approximation
• Quasinormal modes of nearly extremal Kerr spacetimes: spectrum bifurcation and power-law ringdown
• Precession effect of the gravitational self-force in a Schwarzschild spacetime and the effective one-body formalism
• Analytic Solutions of the Teukolsky Equation and their Properties
• Thermodynamics of binary black holes and neutron stars
• Derivation of local-in-time fourth post-Newtonian ADM Hamiltonian for spinless compact binaries
• Dimensional regularization of local singularities in the 4th post-Newtonian two-point-mass Hamiltonian
• Gravitational Self-Force Correction to the Innermost Stable Circular Equatorial Orbit of a Kerr Black Hole
• Metric perturbations produced by eccentric equatorial orbits around a Kerr black hole
• Gravitational self-force from radiation-gauge metric perturbations
• Gravitational self-force on eccentric equatorial orbits around a Kerr black hole
• Particle on the Innermost Stable Circular Orbit of a Rapidly Spinning Black Hole
• Periastron Advance in Spinning Black Hole Binaries: Gravitational Self-Force from Numerical Relativity
• Self force on a scalar charge in Kerr spacetime: eccentric equatorial orbits
• Completion of metric reconstruction for a particle orbiting a Kerr black hole
• First Law of Mechanics for Black Hole Binaries with Spins
• New gravitational self-force analytical results for eccentric orbits around a Schwarzschild black hole
• A Note on Celestial Mechanics in Kerr Spacetime

Cited by in corpus (52)

• Black holes, gravitational waves and fundamental physics: a roadmap
• The SXS Collaboration catalog of binary black hole simulations
• Self-force and radiation reaction in general relativity
• Gravitational self-force on generic bound geodesics in Kerr spacetime
• Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order
• Center-of-Mass Equations of Motion and Conserved Integrals of Compact Binary Systems at the Fourth Post-Newtonian Order
• Gravitational scattering of two black holes at the fourth post-Newtonian approximation
• Extreme Dark Matter Tests with Extreme Mass Ratio Inspirals
• Adiabatic waveforms from extreme-mass-ratio inspirals: an analytical approach
• Dimensional regularization of the IR divergences in the Fokker action of point-particle binaries at the fourth post-Newtonian order
• Evolution of small-mass-ratio binaries with a spinning secondary
• Gravitational self-force on eccentric equatorial orbits around a Kerr black hole
• Intermediate mass-ratio black hole binaries: Applicability of small mass-ratio perturbation theory
• Motion of charged and spinning particle influenced by dark matter field surrounding a charged dyonic black hole
• Effective Field Theory for Extreme Mass Ratios
• Hamiltonian Formulation of the Conservative Self-Force Dynamics in the Kerr Geometry
• Innermost stable circular orbit of spinning particle in charged spinning black hole background
• Quasi-circular inspirals and plunges from non-spinning effective-one-body Hamiltonians with gravitational self-force information
• Eccentric binary black holes: Comparing numerical relativity and small mass-ratio perturbation theory
• Comparison of post-Minkowskian and self-force expansions: Scattering in a scalar charge toy model
• Eccentric self-forced inspirals into a rotating black hole
• Physics of eccentric binary black hole mergers: A numerical relativity perspective
• New metric reconstruction scheme for gravitational self-force calculations
• Spin-orbit precession along eccentric orbits for extreme mass ratio black hole binaries and its effective-one-body transcription
• Bounds on spinning particles in their innermost stable circular orbits around rotating braneworld black hole
• Extreme mass-ratio inspiral and waveforms for a spinning body into a Kerr black hole via osculating geodesics and near-identity transformations
• First Law of Compact Binary Mechanics with Gravitational-Wave Tails
• The mass and angular momentum of reconstructed metric perturbations
• Transition from Inspiral to Plunge: A Complete Near-Extremal Trajectory and Associated Waveform
• Fundamental frequencies and resonances from eccentric and precessing binary black hole inspirals
• Self-force effects on the marginally bound zoom-whirl orbit in Schwarzschild spacetime
• Self-forced inspirals with spin-orbit precession
• Self-force correction to geodetic spin precession in Kerr spacetime
• Gravitational self-force corrections to gyroscope precession along circular orbits in the Kerr spacetime
• Horizon Surface Gravity in Corotating Black Hole Binaries
• New self-force method via elliptic partial differential equations for Kerr inspiral models
• Constraint on Brans-Dicke theory from intermediate/extreme mass ratio inspirals
• Excitation of Kerr quasinormal modes in extreme--mass-ratio inspirals
• Motion deviation of test body induced by spin and cosmological constant in extreme mass ratio inspiral binary system
• Time-domain metric reconstruction for self-force applications
• Orbital spin dynamics of a millisecond pulsar around a massive black hole with an general mass quadrupole
• Detweiler's redshift invariant for spinning particles along circular orbits on a Schwarzschild background
• Electromagnetic self-force on a charged particle on Kerr spacetime: equatorial circular orbits
• Conservative Scattering of Reissner-Nordström Black Holes at Third Post-Minkowskian Order
• Gravitational wave fluxes on generic orbits in near-extreme Kerr spacetime: higher spin and large eccentricity
• Analytical determination of the periastron advance in spinning binaries from self-force computations
• Optimizing the Placement of Numerical Relativity Simulations using a Mismatch Predicting Neural Network
• The first law of binary black hole scattering
• Black-Hole Perturbation Plus Post-Newtonian Theory: Hybrid Waveform for Neutron Star Binaries
• Gauge-fixing for the completion problem of reconstructed metric perturbations of a Kerr spacetime
• Scalar Self-force for High Spin Black Holes
• Constants of motion in gravitational self-force theory